Common AA flop situation

[Atropos]

Party Poker No-Limit Hold'em, $ BB (6 max, 6 handed) pokerhand.org hand converter

MP ($271.59)
CO ($208.25)
Button ($265.85)
SB ($210.30)
BB ($194)
Hero ($258)

Preflop: Hero is UTG with A[img]/images/graemlins/club.gif[/img], A[img]/images/graemlins/spade.gif[/img]. SB posts a blind of $1.
<font color="#CC3333">Hero raises to $8</font>, <font color="#CC3333">MP raises to $14</font>, <font color="#666666">1 fold</font>, Button calls $14, <font color="#666666">2 folds</font>, <font color="#CC3333">Hero raises to $50</font>, MP folds, Button calls $36.

Flop: ($117) 8[img]/images/graemlins/heart.gif[/img], 5[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $100</font>, <font color="#CC3333">Button raises to $200</font>

Some problems with this hand for me:
a) I'm ouf of position, which always sucks
b) I know nothing about the Button, because he just sat down, one of his first hands
c) His preflop play does not really make sense to me - I cant put him on a hand really.
d) I played this flop in a most stupid way. He minraised me quasi all-in. I have to call 100$ in a 417$ pot --&gt; I need a 23.9% Chance to win to break even.

Against set: around 12.5% --&gt; fold, if he could only have a set

Against two pair: 29.09% --&gt; even with two pair I have to call, because of my bet at the flop

Against KK, QQ, AK flushdraw, Straightdraw (highly unlikely) folding would be a catastrophe.

Two questions:
a) Do you call against totally unknown player?
b) Do you play the flop the same? Or do you try a check-raise, because you have the Ace of clubs, which makes flushdraw less likely + redraw outs? What if you didnt have the Ace of clubs?